138983040 has 320 divisors, whose sum is σ = 568719360. Its totient is φ = 31684608.

The previous prime is 138983029. The next prime is 138983069. The reversal of 138983040 is 40389831.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138982986 and 138983004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362689 + ... + 363071.

It is an arithmetic number, because the mean of its divisors is an integer number (1777248).

Almost surely, 2^138983040 is an apocalyptic number.

138983040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284359680).

138983040 is an abundant number, since it is smaller than the sum of its proper divisors (429736320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138983040 is an equidigital number, since it uses as much as digits as its factorization.

138983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 138983040 is about 11789.1068363977. The cubic root of 138983040 is about 517.9890776507.

The spelling of 138983040 in words is "one hundred thirty-eight million, nine hundred eighty-three thousand, forty".